It is a balance home (I like that phrase) and it certainly is not just with respect to gravity but with regard to all of the forces at play in skiing and our ability to stay upright and not fall over during a dynamic turn. As already described, I use the whole foot for balancing (the whole foot is in contact with the boot sole) but the weight is still centered over the ball of the foot. If you are feeling your weight equally distributed between the ball and heel to provide yourself with a wider platform, then your weight is actually centered for some greater proportion of the time over your arch - not the best place from which to make subtle, nuanced balancing movements or to react to the dynamic and ever changing forces at play while skiing - particularly once we get off the groomed slopes. Skiing is NOT just about bending and shaping the skis. It is also about being able to manage our bodies, more specifically our CoM, in a way that keeps us from falling over. And human beings cannot do that part of the task as effectively from our arches or heels as we can from the ball of the foot.
I do disagree with your statement about efficiency. It has ALOT to do with where we balance (the more time we spend on our arches or heels, the more time we will likely spend engaging our large muscle groups to stay in balance) and ALSO alot to do with how we manage the CoM to BoS relationship during turns.
I find zero impact on my ability to shape precise turns using this technique. And with regard to the use of the word forward, maybe it doesn't work very well on a ski forum, but it is quite effective for the concepts I want to focus on with my students.
Come to Big Sky and take a lesson with Ursula and then maybe you will "get it".
I mean that humbly and sincerely. She is a better messenger for her technique than I am. A few years back she received NRM's Black Diamond award and the nomination letter from another ski school director closed with the line: "Everyone who skis with her is moved and changed by the experience."